A Legendrian Thurston-Bennequin bound from Khovanov homology.
Knot and braid invariants from contact homology. I.
Knot and braid invariants from contact homology. II.
Maximal Thurston-Bennequin number of two-bridge links.
Legendrian and transverse twist knots
In 1997, Chekanov gave the first example of a Legendrian nonsimple knot type: the knot. Epstein, Fuchs, and Meyer extended his result by showing that there are at least different Legendrian representatives with maximal Thurston-Bennequin number of the twist knot with crossing number . In this paper we give a complete classification of Legendrian and transverse representatives of twist knots. In particular, we show that has exactly Legendrian representatives with maximal Thurston–Bennequin...
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